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ZSYR(l)) ZSYR(l)ZSYR - perform the symmetric rank 1 operation A := alpha*x*( x' ) + A,NAMESUBROUTINE ZSYR( UPLO, N, ALPHA, X, INCX, A, LDA ) CHARACTER UPLO INTEGER INCX, LDA, N COMPLEX*16 ALPHA COMPLEX*16 A( LDA, * ), X( * )SYNOPSISZSYR performs the symmetric rank 1 operation A := alpha*x*( x' ) + A, where alpha is a complex scalar, x is an n element vector and A is an n by n symmetric matrix.PURPOSEUPLO - CHARACTER*1 On entry, UPLO specifies whether the upper or lower triangular part of the array A is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of A is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of A is to be referenced. Unchanged on exit. N - INTEGER On entry, N specifies the order of the matrix A. N must be at least zero. Unchanged on exit. ALPHA - COMPLEX*16 On entry, ALPHA specifies the scalar alpha. Unchanged on exit. X - COMPLEX*16 array, dimension at least ( 1 + ( N - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the N- element vec- tor x. Unchanged on exit. INCX - INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit. A - COMPLEX*16 array, dimension ( LDA, N ) Before entry, with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of A is not referenced. On exit, the upper triangular part of the array A is overwritten by the upper trian- gular part of the updated matrix. Before entry, with UPLO = 'L' or 'l', the leading n by n lower tri- angular part of the array A must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of A is not referenced. On exit, the lower triangular part of the array A is overwritten by the lower triangular part of the updated matrix. LDA - INTEGER On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, N ). Unchanged on exit.ARGUMENTSLAPACK version 3.015 June 2000 ZSYR(l)

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